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Finding the Fourth Proportional to 126.25, 190.07 and 96.07

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Solution

The fourth proportional to 126.25, 190.07 and 96.07 is: 144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.25 : 190.07 = 96.07 : x
  2. Step 2: Convert to fraction form
    126.25/190.07 = 96.07/x
  3. Step 3: Cross multiply
    126.25x = 190.07 × 96.07
  4. Step 4: Simplify right side
    126.25x = 18,260.02
  5. Step 5: Solve for x
    x = 18,260.02/126.25
  6. Step 6: Final answer
    x = 144.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.